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Discrete two-countour system with one-directional motion

2021/04/19 by M. V. Yashina, Yashina, M. V., A. G. Tatashev +3
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Cellular Automata and Applications #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Dynamics and Fractals #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2104.09464

openalex publication_date 2021/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper studies a dynamical system, which contains two contours. There is a cluster on each contour. The cluster contains particles, located in adjacent cells. The clusters move under prescribed rules. The delays of clusters are due to that the clusters cannot pass through the node simultaneously. The dynamical system belongs to the class of contour networks introduced by A. P. Buslaev.

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